Saturday, November 17, 2012

" How Do We Calculate Quadratic Inequalities? "

                      Calculating quadratic inequalities are quite easier than it sounds !
                 You can solve quadratic equations in 3 short, easy, and simple steps !
 The first step in solving quadratic inequalities is taking a inequality like "  y > 2x^2 " and turning it into a equation by replacing the inequality sign with an equal sign. 
                    so " y > 2x^2 " turns into " y = 2x^2

     The second step is to graph the equation " y = 2x^2 " using a dashed line for  < or > and a solid line for < or >.        

     The third step would be to choose a test point, in or outside the parabola.
               Let's use the test point ( 2, 0 ) . You plug the test point into the inequality
                                   y > 2x^2     
                            0 > 2(2)^2
                            0 > 2(4)
                            0 > 8   <-- This is false : 0 is not greater than 8. 
    The last step would be to shade in the side (whether the inside of the parabola or outside the parabola).
 * not accurate to problem , just visual example
 * where ever your test point is, if it is true you shade the whole thing . If it is false than you should the opposite * .      
            The final answer to the inequality is the shaded area 

NOW TRY IT YOURSELF : 
                      USING THE INEQUALITY : " y > x^2 - 1 " 
                                                                                                                                     

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